Least Common Multiple of 21/62, 67/66, 966/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/62, 67/66, 966/876 quickly i.e. 32361 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/62, 67/66, 966/876 is 32361.

LCM(21/62, 67/66, 966/876) = 32361

LCM of 21/62, 67/66, 966/876

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 21/62,67/66,966/876

Given numbers are 21/62,67/66,966/876

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 21,67,966

Least Common Multiple of Numerators i.e. LCM of 21,67,966 is 64722.

GCF of Denominators means GCF of 62,66,876 as per the given fractions.

GCF of 62,66,876 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,67,966

LCM of Fractions 21/62,67/66,966/876 is 32361

3 21, 67, 966
7 7, 67, 322
1, 67, 46

∴ So the LCM of the given numbers is 3 x 7 x 1 x 67 x 46 = 64722

Least Common Multiple of 21,67,966 with GCF Formula

Least Common Multiple of 21,67,966 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 21,67,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,67,966) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(21,67,966) x common factors =1 x 21 = 21

LCM(21,67,966) = ( 21 × 67 × 966 ) / 21

LCM(21,67,966) = 1359162 / 21

LCM(21,67,966) = 64722


Lets's calculate GCF of 62,66,876

2 62, 66, 876
31, 33, 438

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64722/2

Therefore the LCM of Fractions 21/62,67/66,966/876 is 32361

Greatest Common Factor of 62,66,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,66,876 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 62,66,876 . The biggest common factor number is the GCF number.
So the greatest common factor 62,66,876 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 21/62, 67/66, 966/876

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 21/62, 67/66, 966/876?

Answer: LCM of Numerators as per given numbers 21/62, 67/66, 966/876 is

LCM of Numerators i.e. for 21,67,966 is 64722

GCF of denominators i.e. for 62,66,876 is 2.

Thus, LCM of Fractions is 32361.Finally, LCM of Fractions for 21/62, 67/66, 966/876 is 32361.